Solve the system of linear equation below using a suitable method. 1 2 0V 0 9 6 8. '5) %3D 4

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.1: Systems Of Linear Equations
Problem 83E: Use the system of three equations in three variables to solve each problem. Work schedules A college...
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Question
Q2
(а)
Solve the system of linear equation below using a suitable method.
(1
'5
0 9
6.
y
4
=
17
8.
3,
To find the number of shoes, a company should manufacture per day to
optimally use their machine and assembly line. One needs to solve the
following set of equations. The unknowns are the number for men, x1,
women, x2, teenagers, x3, and infants, x4.
(b)
10х, — х2 + 2х; 3 6
-X1 + 11x2 – X3 + 3x4 = 25
2х, — х2 + 10хз — х4 %3—11
3x2 - x3 + 8x4 = 15
Find approximate solutions to x1, x2, X3, and x4. Starting with x (0, 0, 0,
0)T and iterating until
||x(«) – x(*-1)|.
< 10-3
||x(K) || o
Transcribed Image Text:Q2 (а) Solve the system of linear equation below using a suitable method. (1 '5 0 9 6. y 4 = 17 8. 3, To find the number of shoes, a company should manufacture per day to optimally use their machine and assembly line. One needs to solve the following set of equations. The unknowns are the number for men, x1, women, x2, teenagers, x3, and infants, x4. (b) 10х, — х2 + 2х; 3 6 -X1 + 11x2 – X3 + 3x4 = 25 2х, — х2 + 10хз — х4 %3—11 3x2 - x3 + 8x4 = 15 Find approximate solutions to x1, x2, X3, and x4. Starting with x (0, 0, 0, 0)T and iterating until ||x(«) – x(*-1)|. < 10-3 ||x(K) || o
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